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Efficient parallel binary search on sorted arrays, with applications

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1 Author(s)
Chen, D.Z. ; Dept. of Comput. Sci., Purdue Univ., West Lafayette, IN, USA

Let A be a sorted array of n numbers and B a sorted array of m numbers, both in nondecreasing order, with n⩽m. We consider the problem of determining, for each element A(j), j=1, 2, …, n, the unique element B(i), 0⩽i⩽m, such that B(i)⩽A(j)<B(i+1) (with B(0)=-∞ and B(m+1)=+∞). We present an efficient parallel algorithm for solving this problem in O(log m) time using O([nlog (m/n)]/[log m]) EREW PRAM processors. Our algorithm improves the previously known results on either the time or processor complexity, and enables us to solve several other problems optimally on the EREW PRAM

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Parallel and Distributed Systems, IEEE Transactions on  (Volume:6 ,  Issue: 4 )